On irreducible components of Rapoport-Zink spaces
Algebraic Geometry
2018-04-18 v3 Number Theory
Abstract
Under a mild condition, we prove that the action of the group of self-quasi-isogenies on the set of irreducible components of a Rapoport-Zink space has finite orbits. Our method allows both ramified and non-basic cases. As a consequence, we obtain some finiteness results on the representation obtained from the l-adic cohomology of a Rapoport-Zink tower.
Keywords
Cite
@article{arxiv.1312.4784,
title = {On irreducible components of Rapoport-Zink spaces},
author = {Yoichi Mieda},
journal= {arXiv preprint arXiv:1312.4784},
year = {2018}
}
Comments
42 pages; final version, some results in a quaternion unitary case are added, to appear in International Mathematics Research Notices